Source code for mimiqcircuits.operations.gates.standard.cphase

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import mimiqcircuits.operations.control as mctrl
from mimiqcircuits.operations.gates.standard.cpauli import GateCX
from mimiqcircuits.operations.gates.standard.phase import GateP


[docs] class GateCP(mctrl.Control): r"""Two qubit Controlled-Phase gate. By convention, the first qubit is the control and the second is the target See Also :func:`GateP` **Matrix representation:** .. math:: \operatorname{CP}(\lambda) = \begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & e^{i\lambda} \end{pmatrix} Parameters: lambda: Phase angle in radians. Examples: >>> from mimiqcircuits import * >>> from symengine import * >>> lmbda = Symbol('lambda') >>> GateCP(lmbda), GateCP(lmbda).num_controls, GateCP(lmbda).num_targets, GateCP(lmbda).num_qubits (CP(lambda), 1, 1, 2) >>> GateCP(lmbda).matrix() [1.0, 0, 0, 0] [0, 1.0, 0, 0] [0, 0, 1.0, 0] [0, 0, 0, exp(I*lambda)] <BLANKLINE> >>> c = Circuit().push(GateCP(lmbda), 10, 11) >>> c 12-qubit circuit with 1 instructions: └── CP(lambda) @ q[10], q[11] <BLANKLINE> >>> GateCP(lmbda).decompose() 2-qubit circuit with 5 instructions: ├── P((1/2)*lambda) @ q[0] ├── CX @ q[0], q[1] ├── P((-1/2)*lambda) @ q[1] ├── CX @ q[0], q[1] └── P((1/2)*lambda) @ q[1] <BLANKLINE> """ def __init__(self, *args, **kwargs): super().__init__(1, GateP(*args, **kwargs)) def _decompose(self, circ, qubits, bits): c, t = qubits lmbda2 = self.op.lmbda / 2 circ.push(GateP(lmbda2), c) circ.push(GateCX(), c, t) circ.push(GateP(-lmbda2), t) circ.push(GateCX(), c, t) circ.push(GateP(lmbda2), t) return circ